The Riemann Hypothesis via Fourier-Euler Product: A Short Conditional Reduction

We give a short conditional reduction of the Riemann Hypothesis to three classical inputs — Kronecker-Weyl equidistribution, the Bessel I₀ product identity, and Mertens' divergence theorem — plus a cited pair-correlation step. Key results: 18 theorems / propositions. Maturity: Working Paper. Target venue: Annals of Mathematics. Includes formal verification (Lean 4 with Python verification scripts). Part of The Latent research program. Related papers in this program: Nt RH Path2 Gue, Universal.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20956169
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
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article

The Riemann Hypothesis via Fourier-Euler Product: A Short Conditional Reduction

Tamás Nagy
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

The Riemann Hypothesis via Fourier-Euler Product: A Short Conditional Reduction

Tamás Nagy
article en

Abstract

We give a short conditional reduction of the Riemann Hypothesis to three classical inputs — Kronecker-Weyl equidistribution, the Bessel I₀ product identity, and Mertens' divergence theorem — plus a cited pair-correlation step. Key results: 18 theorems / propositions. Maturity: Working Paper. Target venue: Annals of Mathematics. Includes formal verification (Lean 4 with Python verification scripts). Part of The Latent research program. Related papers in this program: Nt RH Path2 Gue, Universal.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 2%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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The Riemann Hypothesis via Fourier-Euler Product: A Short Conditional Reduction — Tamás Nagy · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS